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[tex]\int \frac{2s+2}{(s^2+1)(s-1)^3} dx[/tex]

What I'm wondering about is there anyway to get the partial fractions out without doing the full mess of bringing up the [tex] (s^2+1) and (s-1)^3 [/tex]? I tried the heaviside method and got one of the numerators but I'm stuck for a practical way to do the others.